GeoFusion-CAD: Structure-Aware Diffusion with Geometric State Space for Parametric 3D Design

• URL: http://arxiv.org/abs/2603.21978v1
• Date: Mon, 23 Mar 2026 13:41:39 GMT
• Title: GeoFusion-CAD: Structure-Aware Diffusion with Geometric State Space for Parametric 3D Design
• Abstract summary: Parametric Computer-Aided Design (CAD) is fundamental to modern 3D modeling.<n>Existing methods struggle to generate long command sequences.<n>We propose GeoFusion-CAD, an end-to-end diffusion framework for scalable and structure-aware generation.
• Score: 10.120364226524417
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Parametric Computer-Aided Design (CAD) is fundamental to modern 3D modeling, yet existing methods struggle to generate long command sequences, especially under complex geometric and topological dependencies. Transformer-based architectures dominate CAD sequence generation due to their strong dependency modeling, but their quadratic attention cost and limited context windowing hinder scalability to long programs. We propose GeoFusion-CAD, an end-to-end diffusion framework for scalable and structure-aware generation. Our proposal encodes CAD programs as hierarchical trees, jointly capturing geometry and topology within a state-space diffusion process. Specifically, a lightweight C-Mamba block models long-range structural dependencies through selective state transitions, enabling coherent generation across extended command sequences. To support long-sequence evaluation, we introduce DeepCAD-240, an extended benchmark that increases the sequence length ranging from 40 to 240 while preserving sketch-extrusion semantics from the ABC dataset. Extensive experiments demonstrate that GeoFusion-CAD achieves superior performance on both short and long command ranges, maintaining high geometric fidelity and topological consistency where Transformer-based models degrade. Our approach sets new state-of-the-art scores for long-sequence parametric CAD generation, establishing a scalable foundation for next-generation CAD modeling systems. Code and datasets are available at GitHub.

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